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https://doi.org/10.48350/152967 | downloaded: 31.1.2022ombein, D. Arnold, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits COSPAR Scientific Assembly, Jan 28 –Feb 04, 2021

Astronomical Institute University of Bern

Sidlerstrasse 5 CH-3012 Bern

Time-variable gravity field recovery from reprocessed GOCE precise science orbits

Thomas Grombein, Daniel Arnold, Adrian Jäggi

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d, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits c Assembly, Jan 28 –Feb 04, 2021

Introduction

• ESA’s satellite mission GOCE (2009 – 2013)

– Gravity Field and Steady-State Ocean Circulation Explorer – Sun-synchronous orbit, mean altitude ~255 km

– Core instrument: Gravity gradiometer (consisting of six accelerometers)

• Satellite-to-Satellite Tracking (SST)

– Two dual-frequency GPS receivers – Primary instrument for

• GPS-based orbit determination

• GPS-based gravity field recovery

• Issues with operational GOCE orbits (Jäggi et al., 2015)

– Orbit positions affected by large ionospheric changes – Limitations for (time-

variable) gravity field

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ombein, D. Arnold, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits COSPAR Scientific Assembly, Jan 28 –Feb 04, 2021

GOCE Reprocessing Campaign at AIUB

• Reprocessing of GOCE Precise Science Orbits (PSO)

– Bernese GNSS software using reprocessed GPS products (Sušnik et al., 2020) – GPS data weighting strategy to mitigate ionospheric effects (Schreiter et al., 2019)

➢ Unweighted and weighted reprocessed PSO

• Gravity field recovery (Celestial Mechanics Approach)

– 1-sec reprocessed kinematic GOCE positions + covariance information – Use of GOCE accelerometer (ACC) data as part of the force model

Reprocessed PSO (unweighted)

Reprocessed PSO (weighted)

Reprocessed PSO (weighted) + ACC data

• Computed gravity field solutions:

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d, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits c Assembly, Jan 28 –Feb 04, 2021

GPS-based gravity field recovery with GOCE

• Quality of bi-monthly gravity field solutions

Geoid height differences

w.r.t. ITSG-Grace2018

(300 km Gauss-filtered)

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ombein, D. Arnold, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits COSPAR Scientific Assembly, Jan 28 –Feb 04, 2021

GPS-based gravity field recovery with GOCE

• Quality of bi-monthly gravity field solutions

Mean total electron content

[TECU]

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d, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits c Assembly, Jan 28 –Feb 04, 2021

GPS-based gravity field recovery with GOCE

• Quality of bi-monthly gravity field solutions

Geoid height differences

w.r.t. ITSG-Grace2018

(300 km Gauss-filtered)

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ombein, D. Arnold, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits COSPAR Scientific Assembly, Jan 28 –Feb 04, 2021

weighted PSO

unweighted PSO

Zonal and near zonal SHCs excluded

Improvements in long-term solutions

• Geoid height differences • Difference degree amplitudes

Zonal and near zonal

SHCs excluded

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d, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits c Assembly, Jan 28 –Feb 04, 2021

unweighted PSO

Zonal and near zonal SHCs excluded

Improvements in long-term solutions

• Geoid height differences • Difference degree amplitudes

Zonal and near zonal SHCs excluded

weighted PSO

+

ACC

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ombein, D. Arnold, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits COSPAR Scientific Assembly, Jan 28 –Feb 04, 2021

Time-variable gravity field recovery

Trend term Cosine term ← Annual variations → Sine term

• Set up of (static) SH coefficients up to d/o 120

• Parameter transformation on the level of normal equations (for coefficients up to d/o 10)

Offset

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d, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits c Assembly, Jan 28 –Feb 04, 2021

Time-variable gravity field recovery

• Reference values from GRACE K-band data (a posteriori fit of monthly ITSG-Grace2018 solutions)

Cosine

Equivalent water

Sine Trend

• Set up of (static) SH coefficients up to d/o 120

• Parameter transformation on the level of normal equations (for coefficients up to d/o 10)

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ombein, D. Arnold, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits COSPAR Scientific Assembly, Jan 28 –Feb 04, 2021

weighted PSO unweighted PSO

without ACC data

with ACC data

Estimated trends from GOCE (Nov 2009 − Oct 2013)

Equivalent water heights

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d, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits c Assembly, Jan 28 –Feb 04, 2021

Time-variable gravity field signals (Nov 2009 − Oct 2013)

Cosine Sine

Trend

GRACE GPS GOCE

GPS

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ombein, D. Arnold, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits COSPAR Scientific Assembly, Jan 28 –Feb 04, 2021

Summary

Solution Trend [cm/year]

Cosine [cm]

Sine [cm]

GOCE-GPS 1.27 1.44 1.37

GRACE-GPS 1.87 1.35 1.01

RMS values w.r.t.

ITSG-Grace2018

• Complete reprocessing of the GOCE Precise Science Orbits (PSO)

• Improved GPS-based gravity field recovery based on reprocessed PSO

• Time-variable gravity field recovery from reprocessed PSO

– Major time-variable signals can be recovered from about 4 years of GOCE-GPS data – Use of GOCE accelerometer data is crucial to derive meaningful linear trends

– Temporal variations obtained from GOCE are comparable to those from GRACE-GPS data

© ESA

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d, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits c Assembly, Jan 28 –Feb 04, 2021

Summary

Solution Trend [cm/year]

Cosine [cm]

Sine [cm]

GOCE-GPS 1.27 1.44 1.37

RMS values w.r.t.

ITSG-Grace2018

• Complete reprocessing of the GOCE Precise Science Orbits (PSO)

• Improved GPS-based gravity field recovery based on reprocessed PSO

• Time-variable gravity field recovery from reprocessed PSO

– Major time-variable signals can be recovered from about 4 years of GOCE-GPS data – Use of GOCE accelerometer data is crucial to derive meaningful linear trends

– Temporal variations obtained from GOCE are comparable to those from GRACE-GPS data

References

Jäggi A, Bock H, Meyer U, Beutler G, van den IJssel J (2015): GOCE: assessment of GPS-only gravity field determination. Journal of Geodesy 89(1):33–48, DOI:10.1007/s00190-014-0759-z Schreiter L, Arnold D, Sterken V, Jäggi A (2019): Mitigation of ionospheric signatures in Swarm GPS gravity field estimation using weighting strategies. Annales Geophysicae 37(1):111–127, DOI:10.5194/angeo-37-111-2019

Sušnik A, Grahsl A, Arnold D, Villiger A, Dach R, Beutler G, Jäggi A (2020): GOCE: Validation of the EGSIEM-REPRO GNSS orbits and satellite clock corrections. Remote Sensing 12(14):2322, DOI:10.3390/rs12142322

Arnold D, Grombein T, Schreiter L, Sterken V, Jäggi A: Reprocessed precise science orbits and gravity field recovery for the entire GOCE mission.

Publication in preparation:

© ESA

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ombein, D. Arnold, A. Jäggi: Time-variable gravity field recovery from reprocessed GOCE precise science orbits COSPAR Scientific Assembly, Jan 28 –Feb 04, 2021

Summary

Solution Trend [cm/year]

Cosine [cm]

Sine [cm]

GOCE-GPS 1.27 1.44 1.37

GRACE-GPS 1.87 1.35 1.01

RMS values w.r.t.

ITSG-Grace2018

• Complete reprocessing of the GOCE Precise Science Orbits (PSO)

• Improved GPS-based gravity field recovery based on reprocessed PSO

• Time-variable gravity field recovery from reprocessed PSO

– Major time-variable signals can be recovered from about 4 years of GOCE-GPS data – Use of GOCE accelerometer data is crucial to derive meaningful linear trends

– Temporal variations obtained from GOCE are comparable to those from GRACE-GPS data

References

Jäggi A, Bock H, Meyer U, Beutler G, van den IJssel J (2015): GOCE: assessment of GPS-only gravity field determination. Journal of Geodesy 89(1):33–48, DOI:10.1007/s00190-014-0759-z Schreiter L, Arnold D, Sterken V, Jäggi A (2019): Mitigation of ionospheric signatures in Swarm GPS gravity field estimation using weighting strategies. Annales Geophysicae 37(1):111–127, DOI:10.5194/angeo-37-111-2019

Sušnik A, Grahsl A, Arnold D, Villiger A, Dach R, Beutler G, Jäggi A (2020): GOCE: Validation of the EGSIEM-REPRO GNSS orbits and satellite clock corrections. Remote Sensing 12(14):2322, DOI:10.3390/rs12142322

Arnold D, Grombein T, Schreiter L, Sterken V, Jäggi A: Reprocessed precise science orbits and gravity field recovery for the entire GOCE mission.

Publication in preparation:

Thank you for your attention

© ESA

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